FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 3, PAGES 173-187

Infinite rank representations of orders in nonsemisimple algebras, and module categories

W. Rump

Abstract

View as HTML     View as gif image

Let R be a Dedekind domain with quotient field K and let L be an R-order in a finite-dimensional K-algebra A such that A/Rad A is separable. We show that if A is not semisimple, then there exists a maximal R-order D in a skew-field such that the category Λ-Lat of R-projective L-modules admits a full module category Δ-Mod as a subfactor.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k05/k053/k05312h.htm
Last modified: September 14, 2005